In the figure, at each point A and B draw an approximate tangent line and then use it to answer the following questions. y 10 :B 8. y=f(x) 4 1 2 3 4 6. 7 (a) Is f'(x) greater at point A or at point B? Explain. O f'(x) is greater at point A. The slope of the tangent line is positive at A. O f'(x) is greater at point A. The slope of the tangent line is negative at A. O f'(x) is greater at point B. The slope of the tangent line is positive at B. O f'(x) is greater at point B. The slope of the tangent line is negative at B. (b) Estimate f'(x) at point B. 3 О -3 O O O O O

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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In the figure, at each point A and B draw an approximate tangent line and then use it to answer the following questions.
y
10
:B
8
y=f(x)
:
4
6.
7
(a) Is f'(x) greater at point A or at point B? Explain.
f'(x) is greater at point A. The slope of the tangent line is positive at A.
f'(x) is greater at point A. The slope of the tangent line is negative at A.
f'(x) is greater at point B. The slope of the tangent line is positive at B.
f'(x) is greater at point B. The slope of the tangent line is negative at B.
(b) Estimate f'(x) at point B.
1/3
Transcribed Image Text:In the figure, at each point A and B draw an approximate tangent line and then use it to answer the following questions. y 10 :B 8 y=f(x) : 4 6. 7 (a) Is f'(x) greater at point A or at point B? Explain. f'(x) is greater at point A. The slope of the tangent line is positive at A. f'(x) is greater at point A. The slope of the tangent line is negative at A. f'(x) is greater at point B. The slope of the tangent line is positive at B. f'(x) is greater at point B. The slope of the tangent line is negative at B. (b) Estimate f'(x) at point B. 1/3
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